COZY COZY WORLD

I am an ordinary Japanese salaryman in his 50's.
The posts are mostly about my attempts at programming which I have taken up recently to maintain logical thinking.
And a bit about my travels around the country.

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Mass Moment of Inertia (MMOI): Introduction

cedarcantab

Jun 5, 20224 min read

Mass Moment of Inertia (MMOI): Introduction

Angular Momentum, Moment of Inertia In prior posts we have discussed momentum, which we have assumed to be mass x velocity. In a world...

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Center of Mass of Lamina: Arbitrary Triangle

cedarcantab

Jun 1, 20223 min read

Center of Mass of Lamina: Arbitrary Triangle

In the previous post we worked through the calculation of the centroid of an isosceles triangle. In this post we delve into the...

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Center of Mass of Lamina: Isosceles triangle

cedarcantab

May 31, 20221 min read

Center of Mass of Lamina: Isosceles triangle

We will put the learnings of the previous post into practice by applying the principles to a triangle. Center of Mass of a Triangle We...

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Sloped Tile Collision Detection in Phaser 3

cedarcantab

May 28, 20228 min read

Sloped Tile Collision Detection in Phaser 3

Making Characters Climb Sloped Tiles After a long and tortuous journey I finally managed to get CozyPhysics engine to work with partial...

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Understanding 2D Physics Engines with Phaser 3, Part 14: SAT - Capsule vs Capsule

cedarcantab

May 8, 20223 min read

Understanding 2D Physics Engines with Phaser 3, Part 14: SAT - Capsule vs Capsule

We saw in the previous post that we can use the separating axis theorem to detect collisions between a polygon and circle, the point...

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Understanding 2D Physics Engines with Phaser 3, Part 13: SAT - Circle Collision Detection

cedarcantab

Apr 30, 20224 min read

Understanding 2D Physics Engines with Phaser 3, Part 13: SAT - Circle Collision Detection

Circle collision detection using Separating Axis Theorem Where is the projection axis for a circle? As we saw in the previous post, the...

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Understanding 2D Physics Engines with Phaser 3, Part 12: SAT - Polygon vs Line Collision Detection

cedarcantab

Mar 26, 20221 min read

Understanding 2D Physics Engines with Phaser 3, Part 12: SAT - Polygon vs Line Collision Detection

This post will be short. It is about using the separating axis theorem (SAT) to detect collision between polygon and line segments. Just...

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Understanding 2D Physics Engines with Phaser 3, Part 11.3: SAT - Containment

cedarcantab

Mar 25, 20222 min read

Understanding 2D Physics Engines with Phaser 3, Part 11.3: SAT - Containment

In the prior post I talked about how to generate a minimum translation vector, which allowed us to push objects around by forcing...

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Understanding 2D Physics Engines with Phaser 3, Part 11.1: SAT - Convex Polygon Collision Detection

cedarcantab

Mar 23, 20226 min read

Understanding 2D Physics Engines with Phaser 3, Part 11.1: SAT - Convex Polygon Collision Detection

Collision Detection between Polygons with Separating Axis Theorem Phaser provides methods to detect overlap / collision between triangles...

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Understanding 2D Physics Engines with Phaser 3, Part 9: Capsule to Capsule Collision and Resolution

cedarcantab

Mar 21, 20225 min read

Understanding 2D Physics Engines with Phaser 3, Part 9: Capsule to Capsule Collision and Resolution

Capsules Phaser 3's default arcade physics engine handles physics bodies as either rectangles (AABB only) or circles. It appears that in...

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Understanding 2D Physics Engines with Phaser 3, Part 8: Triangle Collisions

cedarcantab

Mar 14, 20223 min read

Understanding 2D Physics Engines with Phaser 3, Part 8: Triangle Collisions

Triangle vs Triangle Collision Detection with Rotation In a prior post I took a quick look at GetRectagleToRectangle method of Phaser's...

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Understanding 2D Physics Engines with Phaser 3, Part 7: Rotation

cedarcantab

Mar 10, 20224 min read

Understanding 2D Physics Engines with Phaser 3, Part 7: Rotation

Rotation in a plane So far we have dealt with circles and axis-aligned boxes. Collision detection, resolution and response becomes...

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Understanding 2D Physics Engines with Phaser 3, Part 6: Rectangle Collision Detection & Resolution

cedarcantab

Mar 7, 20229 min read

Understanding 2D Physics Engines with Phaser 3, Part 6: Rectangle Collision Detection & Resolution

Axis Aligned Rectangle Collision Detection and Resolution Having worked through the logic of collision detection between circles and...

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Understanding 2D Physics Engines with Phaser 3, Part 5: Circle vs Line Collisions

cedarcantab

Feb 28, 20226 min read

Understanding 2D Physics Engines with Phaser 3, Part 5: Circle vs Line Collisions

Handling collisions between Circle and Line We covered the topic of colliding circles against axis aligned lines. In this post we cover...

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Understanding 2D Physics Engines with Phaser 3, Part 4: Circle Collision Response with Mass

cedarcantab

Feb 22, 20225 min read

Understanding 2D Physics Engines with Phaser 3, Part 4: Circle Collision Response with Mass

Collision Response in Circle2Circle with mass In the previous post I developed the crudest form of collision response; that of two...

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Physics Simulation in Javascript: Circle2Circle Collision Response (Bounce)

cedarcantab

Feb 15, 20225 min read

Physics Simulation in Javascript: Circle2Circle Collision Response (Bounce)

Circle vs Circle Collision Response In the previous post I covered: detecting collisions (strictly speaking, overlap) between two...

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Physics Simulation in Javascript: Circle to Circle Collision Resolution

cedarcantab

Feb 9, 20224 min read

Physics Simulation in Javascript: Circle to Circle Collision Resolution

Resolution of collisions between two circles In the previous post we discussed how to assess whether two circles are colliding, or...

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Physics Simulation in Javascript: Circle to Circle Collision Detection

cedarcantab

Feb 7, 20223 min read

Physics Simulation in Javascript: Circle to Circle Collision Detection

Collision Detection and Collision Resolution between 2 Circles One of the core functions of a physics engine is of course to detect when...

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Understanding 2D Physics Engines with Phaser 3, Part 1.5: Rotation Matrix

cedarcantab

Jan 31, 20224 min read

Understanding 2D Physics Engines with Phaser 3, Part 1.5: Rotation Matrix

There is one special type of matrix that will come up time and time again, particularly we start to deal with rotating bodies; that is...

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Understanding 2D Physics Engine with Phaser 3, Part 1.3: The Cross Product

cedarcantab

Jan 29, 20223 min read

Understanding 2D Physics Engine with Phaser 3, Part 1.3: The Cross Product

The Cross Product Some mathematicians will tell you that the vector cross product does not exist in 2D. If you search for a wiki page on...

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COZY COZY WORLD

Mass Moment of Inertia (MMOI): Introduction

Center of Mass of Lamina: Arbitrary Triangle

Center of Mass of Lamina: Isosceles triangle

Sloped Tile Collision Detection in Phaser 3

Understanding 2D Physics Engines with Phaser 3, Part 14: SAT - Capsule vs Capsule

Understanding 2D Physics Engines with Phaser 3, Part 13: SAT - Circle Collision Detection

Understanding 2D Physics Engines with Phaser 3, Part 12: SAT - Polygon vs Line Collision Detection

Understanding 2D Physics Engines with Phaser 3, Part 11.3: SAT - Containment

Understanding 2D Physics Engines with Phaser 3, Part 11.1: SAT - Convex Polygon Collision Detection

Understanding 2D Physics Engines with Phaser 3, Part 9: Capsule to Capsule Collision and Resolution

Understanding 2D Physics Engines with Phaser 3, Part 8: Triangle Collisions

Understanding 2D Physics Engines with Phaser 3, Part 7: Rotation

Understanding 2D Physics Engines with Phaser 3, Part 6: Rectangle Collision Detection & Resolution

Understanding 2D Physics Engines with Phaser 3, Part 5: Circle vs Line Collisions

Understanding 2D Physics Engines with Phaser 3, Part 4: Circle Collision Response with Mass

Physics Simulation in Javascript: Circle2Circle Collision Response (Bounce)

Physics Simulation in Javascript: Circle to Circle Collision Resolution

Physics Simulation in Javascript: Circle to Circle Collision Detection

Understanding 2D Physics Engines with Phaser 3, Part 1.5: Rotation Matrix

Understanding 2D Physics Engine with Phaser 3, Part 1.3: The Cross Product

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